Question

The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is​

Answer 1

From the given data let us assume the average height of 22 toddlers to be a

If two of them leaves this group then average height of 20 toddlers increases by 2 so a + 2

If the average height of two toddlers who leaves the group is one third the average height of the original 22

No.of toddlers × average = Total

Hence we can write the equation in such a way that,

22a = 20(a + 2) + 2a/3

2a – 2a/3 = 40

⟹ 4a/3 = 40

a = 30

We need to find the average of remaining 20 toddlers.

⟹ a + 2 = 30 + 2 = 32

Answer

32

Answer 2

Answer:

Also, given, that the average height of the 2 toddlers is one-third of the average height of the 22 toddlers, x – 2. Upon solving, x = 32 inches. The correct option is C.